Math Olympiade 2014 (Part 1)

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Below I show the problems the Olympics for elementary school.

1. Find a two digit number such that if it is reduced by 5 it is a multiple of 4, if it is reduced by it is a multiple of 5 and if it is reduced by 7 it is a multiple 6.

2. A certain even number has exactly seven positive factor, including 1 and the number it self. What is this number?

3. A number p yields a remainder of 3 when divided by 5, a remainder of 5 when divided by 8 and remainder of 11 when divided by 13. If p is less than 1,000, find the maximum value of p.

4. A six digits number aba,bab is formed by repeating a two digit number ab three times, e.g 525,252. If all such numbers are divisible by p, find maximum value of p.

5. A pair of positive integers a and b is such that the greatest common divisor is 5 and the least common multiple is 1,155. Find the smallest value of (a + b).

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Math olympiad contest problems for elementary schools

Some time ago I’ve written an article about math olympiad for elementary school. On this occasion I will continue to write articles about Math Olympiad for primary schools. I hope this article use for students and teachers in elementary schools.

1. Erch bought 5 pockets of flour and 2 packets of sugar. There were 3.28 kg of flour and 4.6 kg of sugar in each packet. He mixed all the flour and sugar together and repacked them equally into 8 packet. Find the mass of the mixture in each packet.

2. John and Suli went to a bookshop and bought some exercise books. They had $100 each. John could buy 7 large and 4 small ones. Suli could buy 5 large and 6 small ones and had $5 left. How much was a small exercise book?

3. There are 13,530 books in the library. 0.6 of the number of hardbacks is equal 0.25 of the number of paperbacks. How many more paperbacks than hardbacks are there?

4. A game normally takes 2 hours and 45 minutes to play. Due to bad weather, the playing time was reduced by 1 hour and  minutes. The actual time, in hours, was ….

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Math Olympiad For Students in Primary Schools

May be, as a internet user, you have ever read my articles, first about Olympiad Math Trainer Week 3 and Olympiad Math Trainer Week 4. In this posting I will show you some Olympiad Math Problems for students in Primary Schools. Please read carefully.

Examples:

1. Miss Evi had $180. She spent 25% of the money on a shirt and 30% of the remainder on a dictionary. How much money had she left?

Solutions:

Miss Evi’s money = $180

She spent = 25% x $180 = $45 on the shirt

Remainder = $180 – $45 = $135

She spent = 30% x $135 = $40.50 on the dictionary.

Miss Evi had = $135 – $40.50 = $94.50 left.

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Olympiad Math Trainer Week 4

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If you have ever read my articles ablout Olympiad Math Trainer Week 2 dan Olympiad Math Trainer Week 3, please read to this post. Now, I give your some problems for Olympiad Math Trainer Week 4.

Solve these questions. Show your working clearly. Each question carries 4 marks.

1. Use simple method to calculate 99 999 x 12 345.

2. Observe the number pattern below.

121, 12.321, 1.234.321, 123.455.321, … .

What the number is the 5th term?

3. Compute 1 + 2 + 3 + … + 49 + 50 + 49 + …. + 3 +2 + 1.

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Olympiad Maths Trainer 4 For 4th Grade Week 2

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This probles are Olympiad Maths Trainer 4 For 4th Grade Week 2. Solve this questions. Show your working clearly. Each questions carries 4 marks.

1. Use distributive law to calculate each of the following.

(a) 42 x 34 + 58 x 34

(b) 37 x 54 + 63 x 54

(c) 156 x 32 – 56 x 32

(d) 233 x 46 – 133 x 46

2. The first three terms of a three number pattern (1, 3, 6), (2, 6, 9), and (3, 9, 12).

Find the sum of three numbers in the 100th term.

3. Find the sum of all multiples of 5 from 5 to 20.

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